Work

Generation time for biexact functors and Koszul objects in triangulated categories

Year: 2025

Type: article

Abstract: This paper concerns the generation time that measures the number of cones necessary to obtain an object in a triangulated category from another object. This invariant is called level. We establish level inequalities for enhanced triangulated categories: One inequality concerns biexact functors of topological triangulated categories, another Koszul objects. In particular, this extends inequalities for the derived tensor product from commutative algebra to enhanced tensor triangulated categories. We include many examples.

Source: Documenta Mathematica

DOI: 10.4171/dm/1000

Authors: Janina C. Letz, Marc Stephan

Institution: Bielefeld University

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Alexander von Humboldt-Stiftung, Deutsche Forschungsgemeinschaft

Awards: EXC 2047: Hausdorff Center for Mathematics (HCM), G6601682123, TRR 358: Ganzzahlige Strukturen in Geometrie und Darstellungstheorie